A cylindrical water tank, shown in the sketch, has a cross-sectional area of 5m². Water flows out of the tank through a pipe of 0.2-m diameter with an average velocity V¹ of 6 m/s. Water flows into the tank through a 0.1m diameter pipe with an average velocity V₂ of 12 m/s. Define an open system (control volume) and determine the rate at which the water level rises in the tank. Use a formal mass conservation analysis.

Transcribed Image Text:

V/₂ Z V₁